4

Civ Euler cycle far the below grephConsider the weighted graph shown belwDelermig...

Question

Civ Euler cycle far the below grephConsider the weighted graph shown belwDelermig

Civ Euler cycle far the below greph Consider the weighted graph shown belw Delermig



Answers

Devise an algorithm for constructing Euler circuits in directed graphs.

So, um, an algorithm about creating ah, an Oiler cuff or annoy lor pass. Um, with the direction would be to first construct an Oiler path without direction. I mean, the reason we do this is because we want to make sure that one, um Vertex, such as a um and then the terminal Vertex such as C. We want to make sure that they have an odd number of connections. And here's why. We always want one to be higher, whether it's the in or out degree, and we want another one to be lower. So what that requires is an odd number and uneven number. And when you add those together, that will give us and on number, whereas something like B, which is in the center, you want them to have the same number, and any number plus itself is going to give you and an even number. That's the first thing. First we want to construct an Oiler path and then to make sure it's directed, um, you mainly just have to focus on. I'm making sure that if you bring something in to one of the points, say you're bringing something in to be you also have to make sure you bring something out of B. Uh, and what this insurers is that A has one going out and nothing coming in that's one and zero and then see has one coming in and zero going out. So that tells us it zero and one. Eso This right here would be an Oiler path with direction. I'm Obviously there's many more oil or paths than this, but there's a good start to see how this can be taken a step further, just using these basic principles.

So with K. Um and this is a simple graph with Enver theses, um, an edge between every pair of various ease. So I'm an example of this would be something, uh, like this. And what we know is that because there is an edge from every vertex to the other Virtus ease. If you have, say and vergis ease, that means that there always be, um, this is an Burgess sees right here. That means that there will always be and minus one edges on because that's the case. Um, because I an Oiler past and has to vergis ease that are odd Degree, keep in mind that no matter what number you plug in here ah, for for n um, if it's if you plug in an on number, then you have an on number of vergis ease. If you plug in an even number, then you get in degree. Um, so because Onley to Vergis is can have an odd degree, that house is that an has to equal to. So that ensures that you have, um, that on degree. But it couldn't be say for because then you have multiple vergis ease with an art degree so n equals two for cave and then for CFN. This is one that has an vergis ease. And and it also has edges. Um, connecting se v one to V two, V two to V three, B 32 before and so forth. Um, so there is an edge from every vertex to two other emergencies, um, so that the degree of every Vertex is to, um And we also realized that the very last one, the n is going to connect back to V one so eventually will create a loop. So because, um, they all haven't even degree. That means that there is no value of n that allows for an oiler path. It would just be an oiler circuit. Um, then we have ah w n, which is a wheel, and that is, ah, cycle, which is CNN. But it has an additional vertex connected to all of the oven Vergis ease. So since the degree of each vertex was two and part B, that means that all the vergis ease, um will have, uh, degree three. Okay, um, and because of that ah, there's only gonna be an oiler path. When two of the vergis ease. Heaven haven't on degree. So that means that WN cannot have an Oiler past because they would all have, um, many of them were multiple ones would have a degree of three more than just, uh too. In that case, then we have, um, que en. So if Q and on this one has, uh, enver theses and there's an edge between the two, and it's all they have bit strings. So if the bit string s has length and than their end strings that differ by exactly one bit from s, So the degree of s would be an And because, uh, there can only be to Vergis is that haven't odd degree. That tells us that. And if an is odd, there must be only two bird sees with a nod degree. Stunt means that all we can have is one Vertex. So that way, the bit strings are length zero and one. So in this case, and is equal to one

Hey. Okay. And and should be hot. Could be CNN and should greet her. Are you going to three? We'll see you in. You know what it's been? Oh, e u n should be even.


Similar Solved Questions

5 answers
Https / Inewconnectmheducation com/flow/connect: ntmlSaviCalculate Ecell and indicate whether the overall reactlon shown is spontaneous nonspontaneous Ozlg) + 4Ht(aq) - ~2Hzou E =1.229V A/3-(aq) ~Alls) E = 1.662Overall reaction; AAI(S) 302(9) - 12H*(aql 4AI (aq) 6H2O(4Muluple ChoiceEcell 2891 " nonspantaneouscell 2 891 sponianeouscell" 2891 nonspontancousErex66 oi 70
https / Inewconnectmheducation com/flow/connect: ntml Savi Calculate Ecell and indicate whether the overall reactlon shown is spontaneous nonspontaneous Ozlg) + 4Ht(aq) - ~2Hzou E =1.229V A/3-(aq) ~Alls) E = 1.662 Overall reaction; AAI(S) 302(9) - 12H*(aql 4AI (aq) 6H2O(4 Muluple Choice Ecell 2891 &...
5 answers
Preview File Edit View GoTools Window HelpScreen Shot 2019-02-14 at 10.08.36 PM0 ViewSparch SearchZoomShareHighlight Rotate Markup71 points SCalcET8 13.2.019.Find the unit tangent vector T(t) at the point with the given value of the parameter r(t) cos(t)i 6tj + 2 sin(4t)k t =T(o)Need Help?Read ItWatchItTalktto Tutor2019-0. 8.41 PMScreen Shot
Preview File Edit View Go Tools Window Help Screen Shot 2019-02-14 at 10.08.36 PM 0 View Sparch Search Zoom Share Highlight Rotate Markup 71 points SCalcET8 13.2.019. Find the unit tangent vector T(t) at the point with the given value of the parameter r(t) cos(t)i 6tj + 2 sin(4t)k t = T(o) Need Help...
5 answers
QUESTION 19 Which set of quantum numbers could be assigned to the electrons in the same orbital? n =2,/=1,m =-1, ms =+1/2 Oa n =2 /=1,m =+1,ms = -1/2n = 5,/ = 0, mI = 0, ms =+1/2 n = 5,/= 1, mi = 0, ms =-1/2n-4/ =2 mI = 0, ms = +1/2n=4,/=2 mI = 0, ms =+1/2n=3,/=1, mj =-1,ms =+1/2 n = 3, |=1, mi = -1,ms -1/2n=2 /=1 mi =+1, ms +1/2n = 3,/=1,mi"+1,ms -1/2QUESTION 20
QUESTION 19 Which set of quantum numbers could be assigned to the electrons in the same orbital? n =2,/=1,m =-1, ms =+1/2 Oa n =2 /=1,m =+1,ms = -1/2 n = 5,/ = 0, mI = 0, ms =+1/2 n = 5,/= 1, mi = 0, ms =-1/2 n-4/ =2 mI = 0, ms = +1/2 n=4,/=2 mI = 0, ms =+1/2 n=3,/=1, mj =-1,ms =+1/2 n = 3, |=1, mi ...
5 answers
[CEOMETRY] Volumes by cross-section_ The base of solid the region between the graph of y = and the I-axis on the interval [0. 2]. Cross-sections perpendlicular to the r-axis are rectangles whose height is half their length Find the volume of the solid.
[CEOMETRY] Volumes by cross-section_ The base of solid the region between the graph of y = and the I-axis on the interval [0. 2]. Cross-sections perpendlicular to the r-axis are rectangles whose height is half their length Find the volume of the solid....
5 answers
92 + 18 find any hole(s) of the function. Mr + 48Given the rational function f(&)Or = 3 OI = 6T = 6 I=3`Or = 6, I = 8 Thcre are no holes
92 + 18 find any hole(s) of the function. Mr + 48 Given the rational function f(&) Or = 3 OI = 6 T = 6 I=3 ` Or = 6, I = 8 Thcre are no holes...
5 answers
T _4x+4 1. Find lim 02 r" 2 +r-6
t _4x+4 1. Find lim 02 r" 2 +r-6...
5 answers
Products D Salect H Diaw 1 0 1 Ring; ofthe prodncts More 1
Products D Salect H Diaw 1 0 1 Ring; ofthe prodncts More 1...
5 answers
Half-life C14 theaplmnt enaterien of is 5730 vears_ on the fragment was earth 'Aepo} discovered peeueyy had the about 1 73% parchment much C14 using the radioactivity fact the does
half-life C14 theaplmnt enaterien of is 5730 vears_ on the fragment was earth 'Aepo} discovered peeueyy had the about 1 73% parchment much C14 using the radioactivity fact the does...
5 answers
What is the output?a. Trueb. Falsec. Compilation errord. Runtime exception
What is the output? a. True b. False c. Compilation error d. Runtime exception...
5 answers
At what value(s) of x does the graph of f(x) FXe-x2 haveinflections? E A$ V31 0 B. * VzO c 0 and + 1 0 D: 0 and * 10E.0Reset Selection
At what value(s) of x does the graph of f(x) FXe-x2 haveinflections? E A$ V3 1 0 B. * Vz O c 0 and + 1 0 D: 0 and * 1 0E.0 Reset Selection...
5 answers
'tne Iolloivinn quotion 8x' + 3 [2.31 @) episn ran 5 knon Ihjt 1n# Sven qquation L4t 021 Balynoiniz contiruci Tiearam_ tete nmttar nuctinnnnkelnLUle Hextbn"! ncthod TaobltTaxdp7
'tne Iolloivinn quotion 8x' + 3 [2.31 @) episn ran 5 knon Ihjt 1n# Sven qquation L4t 021 Balynoiniz contiruci Tiearam_ tete nmttar nuctinn nnkeln LUle Hextbn"! ncthod Taoblt Taxdp7...
5 answers
Ifo)r-7, [f(r)dr-3,andjgkr)dr =-2 , fnd iso)adrpts)ies6)-4g6)xx
ifo)r-7, [f(r)dr-3,andjgkr)dr =-2 , fnd iso)adr pts) ies6)-4g6)xx...
5 answers
Reactionts) = Provide the structure Hzo 3 of the major HBr organic product which results 8 the followingReactionts) Provide OH the PCC struclure 2 the major 9 organic product L.CH;CHzMgBr which L HCrO4 the following
Reactionts) = Provide the structure Hzo 3 of the major HBr organic product which results 8 the following Reactionts) Provide OH the PCC struclure 2 the major 9 organic product L.CH;CHzMgBr which L HCrO4 the following...
5 answers
Give (tmit expresslon that deschbes the Ieft end behavior of Iha function5 42 Tk)Selecl the correct choice below and if necessary; fill in (he answer box (0 complete your cholce.5 + 2x+4X Ilmt0 A0 8. The Iimit does not exist and Is nelther 0o nor 0
Give (tmit expresslon that deschbes the Ieft end behavior of Iha function 5 42 Tk) Selecl the correct choice below and if necessary; fill in (he answer box (0 complete your cholce. 5 + 2x+4X Ilmt 0 A 0 8. The Iimit does not exist and Is nelther 0o nor 0...
5 answers
3 Using the First Principle of Mathematical Induction, prove that for any natural number n, 1 +3 + 5 + + (2n 1) =n2. That is, Show that the equation is true when n = 1, and Assume that the equation is true when n k, and show that the equation is true for n = k+1.
3 Using the First Principle of Mathematical Induction, prove that for any natural number n, 1 +3 + 5 + + (2n 1) =n2. That is, Show that the equation is true when n = 1, and Assume that the equation is true when n k, and show that the equation is true for n = k+1....
5 answers
A rectangle has a perimeter of 46 feet. The width of therectangle is 5 feet less than three times the length. Find thelength and width of the rectangle
A rectangle has a perimeter of 46 feet. The width of the rectangle is 5 feet less than three times the length. Find the length and width of the rectangle...
5 answers
Q1b): Ateach corner /vertex ofan equilateral triangle a particle of mass m kg iskept Calculate the gravitational force acting mass M kg placed at the centroid of the triangle. Assume that the distance of centroid from the vertex is 'a' m Also draw the vector diagram and show the component ofall forces_ (5+5+5+5) =20 pts
Q1b): Ateach corner /vertex ofan equilateral triangle a particle of mass m kg iskept Calculate the gravitational force acting mass M kg placed at the centroid of the triangle. Assume that the distance of centroid from the vertex is 'a' m Also draw the vector diagram and show the component ...

-- 0.022201--